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Finding the Third Proportional to 1,275 and 2,711

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Solution

The third proportional to 1,275 and 2,711 is: 5,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275 : 2,711 = 2,711 : x
  2. Step 2: Convert to fraction form
    1,275/2,711 = 2,711/x
  3. Step 3: Cross multiply
    1,275x = 2,711 × 2,711
  4. Step 4: Simplify right side
    1,275x = 7,349,521
  5. Step 5: Solve for x
    x = 7,349,521/1,275
  6. Step 6: Final answer
    x = 5,764.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.